There isn't a 60i timing on HD-DVD in that sense. Flags in the bitstream will tell the TVs deinterlacer how to decode the stream for whatever refresh rate it is to display at. If the display is 60p it will show the correctly reassembled progressive frames in a 3:2 pattern without any mixed fields. 1080p alone doesn't reduce the resulting judder (the perception of stuttering movement from the uneven framerate).
To be clear, I wasn't addressing the quality of the player at all, just the fact that you seemed to propagate the common misconception that a player outputting 'only' 1080i is in any way inferior for watching movies -- even on most 1080p TVs. Virtually the only time the transport will matter is if you either have a TV that can accept progressive 24fps input (but not interlaced 24fps) for 2:2 or 3:3 display @ 48 or 72Hz (thus my - admittedly entirely imagined - 98.73%, since very few TVs can). Another possible case for it to matter is with interlaced content that have messed up flags in the stream, the wrong field order or whatever; here you may want your high end video processing chip in your high end player to handle the stream internally as your TV's deinterlacer might not be up to it (and even then the player might theoretically be able to process the signal @ 1080p but only output the processed stream as 1080i). Finally, the last situation I can think of where a 1080p transport matters is where you have progressive content recoded and stored @ more than 30fps (which is pretty uncommon, perhaps speciality sports footage or other rare uses).